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    Irreducible Polynomial : Galois Group

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    4. Find an irreducible polynomial defining the field extension K = Q (cube root 2, sq root − 3) over Q . Is K a normal extension of Q ? What is the Galois group for the splitting field of the polynomial defining K over Q ?

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    https://brainmass.com/math/linear-transformation/irreducible-polynomial-galois-group-11756

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    The Galois group for the splitting field of a polynomial is determined.

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